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Finding the Third Proportional to 169,360 and 361,216

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Solution

The third proportional to 169,360 and 361,216 is: 770,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,360 : 361,216 = 361,216 : x
  2. Step 2: Convert to fraction form
    169,360/361,216 = 361,216/x
  3. Step 3: Cross multiply
    169,360x = 361,216 × 361,216
  4. Step 4: Simplify right side
    169,360x = 130,476,998,656
  5. Step 5: Solve for x
    x = 130,476,998,656/169,360
  6. Step 6: Final answer
    x = 770,412.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.